Lyapunov spectra for KMS states on Cuntz-Krieger algebras

DOI10.1007/s00209-007-0110-yzbMath1127.37010arXivmath/0601354OpenAlexW93972052MaRDI QIDQ884974

Bernd O. Stratmann, Marc Kesseböhmer, Manuel Stadlbauer

Publication date: 7 June 2007

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601354

zbMATH Keywords

non-commutative geometryKleinian groupsmultifractal formalismfractal geometryLyapunov spectrathermodynamical formalismMarkov fibred systems

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) General theory of (C^*)-algebras (46L05) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Fractals (28A80) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Dynamical systems and the theory of (C^*)-algebras (37A55)

Related Items (6)

Multiresolution Analysis for Markov Interval Maps ⋮ Spectral metric spaces for Gibbs measures ⋮ Cuntz-Krieger algebras and wavelets on fractals ⋮ Multifractals, Mumford curves and eternal inflation ⋮ Haar systems, KMS states on von Neumann algebras and \(C^*\)-algebras on dynamically defined groupoids and noncommutative integration ⋮ Lyapunov Exponents for Quantum Channels: An Entropy Formula and Generic Properties

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